In the figure, not drawn to scale, 30% of the triangle BED is shaded. The ratio of the shaded part of the circle to the unshaded part of the circle is 5 : 9. What percentage of the rectangle ABDC is unshaded?
Shaded Circle |
Unshaded Circle |
Shaded Triangle |
Total Triangle |
5x3 |
9x3 |
3x5 |
10x5 |
15 u |
27 u |
15 u |
50 u |
30% =
30100 =
310 The shaded part of the figure is the repeated identity. Make the shaded part of the figure the same. LCM of 3 and 5 is 15.
Total area of the rectangle
= 2 x Total triangle
= 2 x 50 u
= 100 u
Unshaded areas
= 100 u - 15 u
= 85 u
Percentage of Rectangle ABDC that is unshaded
=
Unshaded areasArea of Rectangle ABDC x 100%
=
85100 x 100%
= 85%
Answer(s): 85%